Work

Classification of escaping exponential maps

Year: 2007
Type: article
Abstract: We give a complete classification of the set of parameters κ \kappa for which the singular value of E κ : z ↦ exp ⁡ ( z ) + κ E_{\kappa }:z\mapsto \exp (z)+\kappa escapes to ∞ \infty under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.
Language: English
Open Access status: bronze
OpenAlex ID: W2166897943
FWCI: 4.948
Cites: 27
Cited by: 35
Related to: 10